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3 years ago

The total amount of money (in cents) in x nickels, (x+5) dimes and 2x quarters

1 answer:

7 0

$\\
\text{Suppose you have x nickels, (x+5) dimes and 2x quarters}\\
\\
\text{we know that the value of 1 quarter is}=\$ 0.25=\text{ 25 cents}\\
\\
\text{value of 1 dime}=\$0.10=10 \text{ cents}\\
\\
\text{value of 1 Nickel}=\$ 0.05=5 \text{ cents}\\
\\
\text{so the total amount of money in cents is}\\
\\
=5(x)+10(x+5)+25(2x)\\
\\
=5x+10x+50+50x\\
\\
=65x+50$

So the total amount of money is: (65 x +50 ) cents

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Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h

8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

$weight_{unit}=\frac{18oz}{6}=3oz$

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

$fiber=(3oz)(0.51)=1.53oz$

Finally, in each muffin there are 1.53oz of fiber.

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3 years ago

Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ

irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

$\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).$

Then after solving, it become and with theorem it says that the

$\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .$

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

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1 year ago

If the area of the square is 300 square inches, what is the length of each side simplest form?

Mila [183]

300 divided by 4 =75

8 0

3 years ago

What is the answer 1.50b + 2.99p =

cluponka [151]

Answer:

1.50b + 2.99p

Step-by-step explanation:

nothing can be further done

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3 years ago

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What is the equasion of the line that passes through (0,5) and (2,3)

Annette [7]

The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$m = \frac{5 - 3}{0 - 2}$

$m = \frac{2}{-2}$

$m = -1$

Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is $y=-1x+5$ .

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3 years ago